Special Issue: Frontiers of Number Theory and Fuzzy Mathematical Structures: Sequences, Theory, Computation, and Applications
Overview:
This Special Issue will focus on the rich landscape of number theory and integer sequences, encompassing both classical investigations and modern extensions. Particular attention will be given to algebraic structures, recurrence relations, and modular properties. Additionally, the issue will welcome a limited but meaningful selection of papers exploring the integration of fuzzy logic and soft computing into discrete mathematical frameworks.
Scope of the Special Issue (but are not limited to):
- Classical and generalized integer sequences: Fibonacci, Lucas, Pell, k-sequences, and beyond
- Recurrence relations, generating functions, and closed-form solutions
- Divisibility, modular arithmetic, and Diophantine equations
- Algebraic number theory applications in sequence analysis
- Symbolic computation and algorithmic generation of number sequences
- Cryptographic constructions based on number-theoretic sequences
- Combinatorial structures arising from number sequences
- Interdisciplinary Applications in Cryptography, AI, Engineering, Data Science, and beyond
Fuzzy logic-related subtopics:
- Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Soft Set Frameworks
- Fuzzy generalizations of classical sequences and recurrence relations
- Fuzzy number systems in sequence-based models
- Integration of uncertainty in arithmetic or combinatorial frameworks
- Hybrid approaches: Number theory meets fuzzy logic in cryptographic or modeling contexts
The goal of this Special Issue is to provide a platform that highlights fundamental research in number theory and sequences, while also showcasing how fuzzy methods can extend or enrich classical results in selected cases.
Keywords: Integer sequences; Recurrence Relations; Diophantine Equations; Fuzzy Logic; Cryptographic Applications
Guest Editor
Prof. Dr. Engin Özkan
Department of Mathematics at the Faculty of Sciences, Marmara University, İstanbul-TÜRKİYE
Email: engin.ozkan@marmara.edu.tr
ORCID: https://orcid.org/0000-0002-4188-7248
Scopus Author Profile: https://www.scopus.com/authid/detail.uri?authorId=57224960892
Web of Science (Publons): https://www.webofscience.com/wos/author/record/A-5361-2018
Google Scholar Profile: https://scholar.google.com/citations?user=TzhMFEcAAAAJ&hl=tr
ResearchGate: https://www.researchgate.net/profile/Engin-Oezkan-3?ev=hdr_xprf
Personal Academic Webpage: https://avesis.marmara.edu.tr/eozkan
Biographical Note:
Prof. Dr. Engin Özkan is a mathematician specializing in number theory, algebraic structures, and integer sequences, with growing interest in the integration of fuzzy logic into discrete mathematics. He earned his Ph.D. in Mathematics from Atatürk University, Türkiye, in 2002, with a dissertation on 3-Step Fibonacci Sequences in Finite Nilpotent Groups. Over the years, he has supervised numerous master's and Ph.D. theses on generalized number sequences and their applications in algebra, cryptography, and recurrence theory.
Prof. Özkan has published extensively in international peer-reviewed journals, including Applied Mathematics and Computation, Communications in Algebra, Chaos, Solitons & Fractals, and Axioms. His research contributions encompass generalized Fibonacci and Lucas sequences, matrix representations of special polynomials, hybrid numbers, and algebraic identities involving recurrence relations.
In recent years, his work has also explored the role of fuzzy transformations in sequence analysis and mathematical modeling. Prof. Özkan currently holds a professorship at the Department of Mathematics, Faculty of Science, Marmara University, Türkiye. He is an editorial board member of several international mathematics journals and has served on numerous scientific committees.
With an h-index of 12 in Web of Science, 11 in Scopus, and 19 in Google Scholar, and over 100 publications, the majority of which are indexed in the Web of Science, Prof. Özkan continues to make an influential contribution to modern developments in discrete mathematics with both theoretical and applied impact.
Important Dates
- Submission Opens: August 1, 2025
- Final Manuscript Deadline: June 30, 2026
- Editorial Acceptance Deadline: October 31, 2026
Submissions should present original and high-quality research that is not currently under review elsewhere. All manuscripts will undergo a rigorous double-blind peer review process. Previously published conference papers must be substantially extended and clearly identified during submission.
Submission Information
Submit it online: http://ojs.wiserpub.com/index.php/CM/user/register
Or send it to the email address: flory@universalwiser.com
Submission Guideline
https://ojs.wiserpub.com/index.php/CM/about/submissions
For any inquiries about this Special Issue, please contact the Editors via flory@universalwiser.com